Mister Exam

Other calculators:

x^2*sin(x)
Limit of the function/ x^2*sin(x)

Limit of the function x^2*sin(x)

at →
v

For end points:

The graph:

from to

Piecewise:

The solution

You have entered [src] 
     / 2       \
 lim \x *sin(x)/
x->oo
lim⁡x→∞(x2sin⁡(x))\lim_{x \to \infty}\left(x^{2} \sin{\left(x \right)}\right) 
Limit(x^2*sin(x), x, oo, dir='-')
Lopital's rule
There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type
The graph
02468-8-6-4-2-1010-100100
Plot the graph
Rapid solution [src] 
<-oo, oo>
⟨−∞,∞⟩\left\langle -\infty, \infty\right\rangle
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→∞(x2sin⁡(x))=⟨−∞,∞⟩\lim_{x \to \infty}\left(x^{2} \sin{\left(x \right)}\right) = \left\langle -\infty, \infty\right\rangle
lim⁡x→0−(x2sin⁡(x))=0\lim_{x \to 0^-}\left(x^{2} \sin{\left(x \right)}\right) = 0
More at x→0 from the left
lim⁡x→0+(x2sin⁡(x))=0\lim_{x \to 0^+}\left(x^{2} \sin{\left(x \right)}\right) = 0
More at x→0 from the right
lim⁡x→1−(x2sin⁡(x))=sin⁡(1)\lim_{x \to 1^-}\left(x^{2} \sin{\left(x \right)}\right) = \sin{\left(1 \right)}
More at x→1 from the left
lim⁡x→1+(x2sin⁡(x))=sin⁡(1)\lim_{x \to 1^+}\left(x^{2} \sin{\left(x \right)}\right) = \sin{\left(1 \right)}
More at x→1 from the right
lim⁡x→−∞(x2sin⁡(x))=⟨−∞,∞⟩\lim_{x \to -\infty}\left(x^{2} \sin{\left(x \right)}\right) = \left\langle -\infty, \infty\right\rangle
More at x→-oo
The graph
Limit of the function x^2*sin(x)
    © Mister Exam – Calculator